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Finding the Fourth Proportional to 227,206.52, 340,705.44 and 77,385.86

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Solution

The fourth proportional to 227,206.52, 340,705.44 and 77,385.86 is: 116,043.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,206.52 : 340,705.44 = 77,385.86 : x
  2. Step 2: Convert to fraction form
    227,206.52/340,705.44 = 77,385.86/x
  3. Step 3: Cross multiply
    227,206.52x = 340,705.44 × 77,385.86
  4. Step 4: Simplify right side
    227,206.52x = 26,365,782,096.96
  5. Step 5: Solve for x
    x = 26,365,782,096.96/227,206.52
  6. Step 6: Final answer
    x = 116,043.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.